​Determine 2 non-equivalent polynomials, f(x) and g(x), such that f(0) = g(0) an

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Yhyh98

Mathematics

Question Description

Determine 2 non-equivalent polynomials, f(x) and g(x), such that f(0) = g(0) and f(2) = g(2)

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Explanation & Answer

f(x) = x^2+x  and  g(x) = x^3-x

Check:

f(0) = 0; g(0) = 0; thus, f(0)=g(0) condition is satisfied

f(2) = 4+2 = 6; g(2) = 8-2 = 6; thus, f(2)=g(2) condition is also satisfied

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Nyrk M (997)
UIUC

Anonymous
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